Pith Number

pith:HKO4NZQH

pith:2023:HKO4NZQHUZQRIZGIJVMQGTDSJW

not attested not anchored not stored refs pending

Equivariant Kuznetsov Components of Certain Cubic Fourfolds

Xianyu Hu

arxiv:2312.17392 v1 · 2023-12-28 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HKO4NZQHUZQRIZGIJVMQGTDSJW}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Rational cubic fourfolds with a symplectic group of automorphisms

Receipt and verification

First computed	2026-07-05T07:28:51.437699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a9dc6e607a6611464c84d59034c724d83d2102a63a0d366b6c6fa69a199fb5d

Aliases

arxiv: 2312.17392 · arxiv_version: 2312.17392v1 · doi: 10.48550/arxiv.2312.17392 · pith_short_12: HKO4NZQHUZQR · pith_short_16: HKO4NZQHUZQRIZGI · pith_short_8: HKO4NZQH

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/HKO4NZQHUZQRIZGIJVMQGTDSJW \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 3a9dc6e607a6611464c84d59034c724d83d2102a63a0d366b6c6fa69a199fb5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c18411efff839f95d8b58804b23479434fc5529d43204d399951ae114d4afe46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-12-28T23:03:27Z",
    "title_canon_sha256": "f1921ed07cf7214fa2a957530ef81ebbf08f88420c6a061e1866819d93cb4bdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.17392",
    "kind": "arxiv",
    "version": 1
  }
}